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Finding the Fourth Proportional to 120,082.30, 180,123.45 and 36,976.30

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Solution

The fourth proportional to 120,082.30, 180,123.45 and 36,976.30 is: 55,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,082.30 : 180,123.45 = 36,976.30 : x
  2. Step 2: Convert to fraction form
    120,082.30/180,123.45 = 36,976.30/x
  3. Step 3: Cross multiply
    120,082.30x = 180,123.45 × 36,976.30
  4. Step 4: Simplify right side
    120,082.30x = 6,660,298,724.24
  5. Step 5: Solve for x
    x = 6,660,298,724.24/120,082.30
  6. Step 6: Final answer
    x = 55,464.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.